Evaluate log6 base 10+ log45 base 10 - log27 base 10

Answers

Answer 1

Answer:

The correct answer is B.

Explanation:

log106 + log1045 - log1027

log10

6

×

45

27

= log102 x 5

log1010 = 1

Step-by-step explanation:

Answer 2

To solve the problem we must know about the properties of logarithms.

What are the Properties of logarithms?

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)[/tex][tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex][tex]\rm log_aU^n = n\ log_aU[/tex][tex]\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]

The solution to the problem is 1.

Given to us

[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]

Evaluation of the Logarithmic expression

To solve the problem we will use the [tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex] and [tex]\rm log_aU+ log_aV = log_a(UV)[/tex] properties of logarithms, thus the solution to the problem can be calculated as shown below,

[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]

[tex]=\rm {log_{10}(6\times 45)}-{log_{10}27}[/tex]

[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]

[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]

[tex]=\rm log_{10}10[/tex]

[tex]=1[/tex]

Hence, the solution to the problem is 1.

Learn more about Logarithmic:

https://brainly.com/question/7302008


Related Questions

Please help. find the missing side of each triangle

Answers

Answer:

x = √146 = 12.1 (nearest tenth)

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b², where,

c = x

a = √82 km

b = 8 km

Plug in the values

x² = (√82)² + 8²

x² = 82 + 64

x² = 146

x = √146 = 12.1 (nearest tenth)

Asap!!

X=
12
9
6 2/3


Answers

Answer:

12

Step-by-step explanation:

Solve kx + 8 = 4 for x.
K
O A. x = 4
O B. x= -1
- 1 / 1
O c. x = -1/
-
O D. x = 1 /

Answers

Answer:

A.4

hope it is ❤❤❤❤

THANK YOU.

Simplify the expression given below.
(732 - 83 + 21) + (-1363 - 11.2 + 133 + 19)

Answers

Answer:

732−83+21−1363−11.2+133+19= −552.2

This should be like this, simply, the simplification is 670-1222.2 and the answer to this is -552.2

What is the measure of

Answers

Answer:

Step-by-step explanation:

∠BAC = 180° - 75° = 105°

The sum of the angles of a triangle is 180°.

(3x+2) + (10x-5) = 75

13x-3 =  75

x = 6

∠B = 3x+2 = 20°

∠BCF = 10x-5 = 55°

A week have five school days and two weekend days. Write as ratio

Answers

5:2 or 5 to 2 or 5/2

Answer:

5:2

Step-by-step explanation:

Need help ASAP
Will mark you brainlist

Answers

Answer:

y=[tex]\frac{1}{2}[/tex]x -1

Step-by-step explanation

First, pick two points on the line

Use these points to calculate the slope using the rate of change formula

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2. The complex computation (6+2i)(6-21)-(3-4i)(3+4i) can be simplified to
(1) 15
(3) -10
(2) 39
(4-35

Answers

Answer:

the answer is 15

have a good day

If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65

Answers

Answer:

D. 0.65

Step-by-step explanation:

Do 52/80 to get the answer which is D.

Please help me I really need it

Answers

Answer:

Step-by-step explanation:

multiply all number then add it to 32

Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
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Oh=9.25e
od=
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h
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Answers

Huh? I honestly am lost in this world it’s draining my mental health....what if I just end it? Will anyone care? Probably not....... I’m not allowed to feel this way bc my parents say it’s the devil trying to take me away from god but honestly I don’t believe that..

What is 2/7 divided by 5/9

Answers

Answer:0.006439

Step-by-step explanation:

Answer:

18/35

Step-by-step explanation:

Please answer fast ASAP I give brainliest

How much time does it take for the quarter to hit the water ???

Answers

Answer:

7 seconds

Step-by-step explanation:

y=-16t²+96t+112, where t is time and y is distance above water.

We are looking for t when y=0

-16t²+96t+112=0

t²-6t-7=0

(t-7)(t+1)=0

Either t=7 or t=-1.

Since we cant have negative time, the answer is t=7

5.Use the slope formula to calculate the slope of the path you selected in question 4. Round
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Answers

Answer:

0.96

Step-by-step expla its 0.96 but tell me if wrong. this is only for if u choose the North strait. because 0.959 rounded is 0.96

Answer:

Step-by-step explanation:

What accounted for the high mortality rate of the French Army in Russia?

Answers

Answer:the lost the war

Step-by-step explanation:

Robin ran 1/2 of a mile. He finished with 2/3 of the race. how long is the whole race?

Answers

Answer: 3/4 mile

Step-by-step explanation:

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So we know that Robin ran 1/2 of a mile and he finish 2/3 of the race.

To find the answer, you divide 1/2 by 2/3.

You do keep change change, so it turns into 1/2 x 3/2 which is 3/4.

Final result: 3/4

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Answers

Step-by-step explanation:

..........................

1. A, D, E
2. A, B, D
3. C, D, E
4. A, B, C

Answers

Answer:

4. A,B,C because the dotted line on A B C have the same shape

3.01
Consider the table of data for the function g(x), below:
29 2.99 2999 3.001
3.1
80) 4.41 4.9401 4.994 -5.006 -5.0601 5.61
From the data given, it would appear that the lim g(x) is likely to be:
A. - 5
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O
O
D. 5
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Answers

Answer:

C. Does not exsit

Step-by-step explanation:

Hope this helps you. Ask me anything if you have any questions! I'm free to help you anytime!

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Answers

Btw u can use a site called Desmos which graphs the equation into a graph so u can see.
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Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Phillip estimate the tip on a $36.00 bill correctly?

Answers

Answer:

$36.00

Step-by-step explanation:

Find the perimeter of the following shape:

Answers

Answer:

P = 13 + 13 + 10

P = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you add up all the side lengths because that’s what perimeter is. 13+13+10, equals 36!

D What is the solution for the equation? 5 3 2-4+1 1​

Answers

Answer:

539

Step-by-step explanation:

532 - 4+11= 539

Shane bikes 5 miles to the park in 30 minutes and 3 miles to the library in 45 minutes. What was his average speed?

Answers

Step-by-step explanation:

Speed =__distancr covered___

Time taken

=5miles ×3miles÷30 mins×45mins

=15miles÷1350mins

=90 mins

Find the missing term in the
geometric sequence.
12,[ ? ],108

Answers

Answer: 36

Step-by-step explanation:

Knowing 12 most likely isn't the 1st term finding the formula will be unnecessary and difficult. Instead, divide 108, by 12. This will give you a multiplier of 3. Knowing this, divide 108 by 3, and you'll get 36. That is the missing term in the sequence.

Answer:

36

Step-by-step explanation:

Acellus

f(x) = 5x – 10 and g(x) = x – 16. Which of the following represents h(x) = f(x) + g(x)? h(x) = 6x – 16 h(x) = 6x – 26 h(x) = x – 26 h(x) = x – 16

Answers

Answer:

h(x)=6x-26

Step-by-step explanation:

f(x)=5x-10

g(x)=x-16

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Please answer all i need help Factor the expression using the GCF. 50x-60 Next one Factor the expression using the GCF. 16m+40 next one Factor the expression using the GCF.27-45c next one Factor the expression using the GCF.

Answers

Answer:

10(5x - 6).

8(2m + 5).

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Step-by-step explanation:

Given that

50x-60

16m+40

27-45c

The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

B

Step-by-step explanation:

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Answers

Answer:

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Answer:

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